scientific article; zbMATH DE number 4114775

zbMath0681.14007MaRDI QIDQ4729895

James S. Milne

Publication date: 1988

Full work available at URL: http://www.numdam.org/item?id=CM_1988__68_1_59_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

dualitymotivic cohomologyfieldcohomology of the complexesKummer sequencesTate conjecture for smooth projective varieties over a finiteTate conjecture for smooth projective varieties over a finite fieldzeta-functions of varieties over finite fields

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (p)-adic cohomology, crystalline cohomology (14F30) Generalizations (algebraic spaces, stacks) (14A20) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items

Artin-Verdier duality for arithmetic surfaces, Motivic cohomology, Some observations on motivic cohomology of arithmetic schemes, Cohomological Hasse principle and motivic cohomology for arithmetic schemes, On an analogue of the conjecture of Birch and Swinnerton-Dyer for abelian schemes over higher dimensional bases over finite fields, Motivic cohomology over Dedekind rings, Weil-étale cohomology over finite fields, Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini, The de Rham--Witt and \(\mathbb Z_p\)-cohomologies of an algebraic variety, The order of higher Brauer groups

Cites Work

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